[sage-support] Eigen spaces of algebraic matrices broken ?
Setup : Sage 9.5.rc1 running in Debian testing on core i7 + 16 GB RAM.
def test(Size=2, Ring=QQ):
from time import time as stime
with seed(0):
M = matrix(Ring, Size, Size, lambda u, v:Ring.random_element())
t0 = stime()
SL = M.eigenspaces_left(algebraic_multiplicity=True)
t1 = stime()
VL = M.eigenvectors_left()
t2 = stime()
return t1-t0, SL, t2-t1, VL
test() runs as expected, as well as test(Size=5) and test(Ring=AA), with
very reasonable runtimes (under a second, IIRC). But test(Size=3, Ring=AA)
“never returns” (meaning that it hadn’t returned when I interrupted it
after tens of minutes). Further exploration showec that neither
M.eigenspaces_left(algebraic_multiplicity=True) nor M.eigenvectors_left()
return.
Is that an expected behaviour ?
FWIW, stack trace at interruption :
sage: AA3=test(Size=3, Ring=AA)
AA3=test(Size=3, Ring=AA) C-c
C-c---
AttributeErrorTraceback (most recent call last)
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in minpoly(self)
4492 try:
-> 4493 return self._minimal_polynomial
4494 except AttributeError:
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/structure/element.pyx
in sage.structure.element.Element.__getattr__
(build/cythonized/sage/structure/element.c:4754)()
493 """
--> 494 return self.getattr_from_category(name)
495
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/structure/element.pyx
in sage.structure.element.Element.getattr_from_category
(build/cythonized/sage/structure/element.c:4866)()
506 cls = P._abstract_element_class
--> 507 return getattr_from_other_class(self, cls, name)
508
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/cpython/getattr.pyx
in sage.cpython.getattr.getattr_from_other_class
(build/cythonized/sage/cpython/getattr.c:2633)()
360 dummy_error_message.name = name
--> 361 raise AttributeError(dummy_error_message)
362 attribute = attr
AttributeError: 'sage.rings.real_mpfi.RealIntervalFieldElement' object has no
attribute '_evaluate_polynomial'
During handling of the above exception, another exception occurred:
KeyboardInterrupt Traceback (most recent call last)
in
> 1 AA3=test(Size=Integer(3), Ring=AA)
in test(Size, Ring)
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx
in sage.matrix.matrix2.Matrix.eigenspaces_left
(build/cythonized/sage/matrix/matrix2.c:43588)()
6270 self = self.change_ring(F)
6271 A = self - alpha
-> 6272 W = A.kernel()
6273 V.append((alpha,
W.ambient_module().span_of_basis(W.basis()), e))
6274 else:
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx
in sage.matrix.matrix2.Matrix.left_kernel
(build/cythonized/sage/matrix/matrix2.c:32440)()
4947
4948 tm = verbose("computing left kernel for %sx%s matrix" %
(self.nrows(), self.ncols()),level=1)
-> 4949 K = self.transpose().right_kernel(*args, **kwds)
4950 self.cache('left_kernel', K)
4951 verbose("done computing left kernel for %sx%s matrix" %
(self.nrows(), self.ncols()),level=1,t=tm)
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx
in sage.matrix.matrix2.Matrix.right_kernel
(build/cythonized/sage/matrix/matrix2.c:31909)()
4785
4786 # Go get the kernel matrix, this is where it all happens
-> 4787 M = self.right_kernel_matrix(*args, **kwds)
4788
4789 ambient = R**self.ncols()
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx
in sage.matrix.matrix2.Matrix.right_kernel_matrix
(build/cythonized/sage/matrix/matrix2.c:30829)()
4394
4395 if M is None and R in _Fields:
-> 4396 format, M = self._right_kernel_matrix_over_field()
4397
4398 if M is None and R.is_integral_domain():
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx
in sage.matrix.matrix2.Matrix._right_kernel_matrix_over_field
(build/cythonized/sage/matrix/matrix2.c:27969)()
3686 from sage.matrix.matrix_space import MatrixSpace
3687 tm = verbose("computing right kernel matrix over an arbitrary
field for %sx%s matrix" % (self.nrows(), self.ncols()),level=1)
-> 3688 E = self.echelon_form(*args, **kwds)
3689 pivots = E.pivots()
3690 pivots_set = set(pivots)
[sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
Just for data points, which browsers did you try on this? Thanks for reporting. On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk wrote: > Interact just calls the function but no Interact widgets appear. > > Example attached. It works at Cocalc. > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com.
[sage-support] Re: Eigen spaces of algebraic matrices broken ?
The promlem seems tolie wit (my use of) polynomial rings to compute the
eigenvectors. Manually, after executing
dims = M.dimensions()
if dims[0] != dims[1]: raise DomainError("Not a square matrix !")
dim = dims[0]
BR = M.base_ring()
try:
WR = BR.algebraic_closure()
except AttributeError:
WR = BR
WPR = WR["t"]
t = WPR.gens()[0]
# CP = WPR(M.charpoly(var="t"))
# Eigenvalues
CP = M.charpoly(var="t")
lambdas = CP.roots(ring=WR)
# Eigenvectors
Id = identity_matrix(WR,dim)
WM = M.apply_map(lambda u:WR(u))
PR = PolynomialRing(WR,list(("v%d"%u for u in range(dim
J=PR.ideal(*(WM-Id*lambdas[0][0])*vector(PR.gens()))
neither J.dimension() nor J.variety() returns ; the interruption gives :
sage: J.dimension()
C-c
C-c---
KeyboardInterrupt Traceback (most recent call last)
in
> 1 J.dimension()
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/polynomial/multi_polynomial_ideal.py
in __call__(self, *args, **kwds)
295 if not R.base_ring().is_field():
296 raise ValueError("Coefficient ring must be a field for
function '%s'."%(self.f.__name__))
--> 297 return self.f(self._instance, *args, **kwds)
298
299 require_field = RequireField
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar_decorators.py
in wrapper(*args, **kwds)
111 # same_field=True might trigger an exception otherwise.
112
--> 113 numfield, new_elems, morphism =
number_field_elements_from_algebraics(orig_elems, same_field=True, minimal=True)
114
115 elem_dict = dict(zip(orig_elems, new_elems))
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in number_field_elements_from_algebraics(numbers, minimal, same_field,
embedded, prec)
2759 real_numbers = []
2760 for v in numbers:
-> 2761 if v._exact_field().is_complex() and real_case:
2762 # the number comes from a complex algebraic number field
2763 embedded_rt = v.interval_fast(RealIntervalField(prec))
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in _exact_field(self)
4428 if isinstance(sd, (ANRational, ANExtensionElement)):
4429 return sd.generator()
-> 4430 self.exactify()
4431 return self._exact_field()
4432
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
4363 if isinstance(od, (ANRational, ANExtensionElement)):
4364 return
-> 4365 self._set_descr(self._descr.exactify())
4366
4367 def _set_descr(self, new_descr):
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
8180
8181 if op == 'real':
-> 8182 arg.exactify()
8183 rv = (arg + arg.conjugate()) / 2
8184 rv.exactify()
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
4363 if isinstance(od, (ANRational, ANExtensionElement)):
4364 return
-> 4365 self._set_descr(self._descr.exactify())
4366
4367 def _set_descr(self, new_descr):
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
8429 left = self._left
8430 right = self._right
-> 8431 left.exactify()
8432 right.exactify()
8433 gen = left._exact_field().union(right._exact_field())
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
4363 if isinstance(od, (ANRational, ANExtensionElement)):
4364 return
-> 4365 self._set_descr(self._descr.exactify())
4366
4367 def _set_descr(self, new_descr):
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in exactify(self)
8431 left.exactify()
8432 right.exactify()
-> 8433 gen = left._exact_field().union(right._exact_field())
8434 left_value = gen(left._exact_value())
8435 right_value = gen(right._exact_value())
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in union(self, other)
3230 op = QQx(op)
3231 # pari_nf = self._field.pari_nf()
-> 3232 pari_nf = self.pari_field()
3233 factors = list(pari_nf.nffactor(op).lift())[0]
3234 x, y = QQxy.gens()
/usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
in
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
On Sat, Jan 29, 2022 at 8:05 PM 'Alan Stafford' via sage-support wrote: > > I only used Safari. Safari supports widgets at Cocalc so I can't think that > it won't support them should I run it locally. Interact has worked on > previous versions of SageMath. I am hoping the Mac support team will look > into this. Cocalc has its own implementation for handling ipython notebooks. No wonder that it might be totally different locally, with different code handling notebook. Can you try with Chrome? > > On Saturday, January 29, 2022 at 6:40:10 PM UTC dim...@gmail.com wrote: >> >> On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: >> > >> > Just for data points, which browsers did you try on this? Thanks for >> > reporting. >> >> for what's worth, the interact works on Linux with Firefox. >> >> > >> > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk >> > wrote: >> >> >> >> Interact just calls the function but no Interact widgets appear. >> >> >> >> Example attached. It works at Cocalc. >> > >> > -- >> > You received this message because you are subscribed to the Google Groups >> > "sage-support" group. >> > To unsubscribe from this group and stop receiving emails from it, send an >> > email to sage-support...@googlegroups.com. >> > To view this discussion on the web visit >> > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/8f13034e-c737-4e4a-bc58-ceb6d7177281n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq0t7sTrO_9%2Bmq06-rm6sBvtfbg%2BAwaFShCkeUk%3DNDDykw%40mail.gmail.com.
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: > > Just for data points, which browsers did you try on this? Thanks for > reporting. for what's worth, the interact works on Linux with Firefox. > > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk > wrote: >> >> Interact just calls the function but no Interact widgets appear. >> >> Example attached. It works at Cocalc. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq2FjTz7rwn6421o50VqsAbymn__uUr3gqrpVrS3X%2BOZTQ%40mail.gmail.com.
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
Exactly the same using Google Chrome. On Saturday, January 29, 2022 at 8:09:36 PM UTC dim...@gmail.com wrote: > On Sat, Jan 29, 2022 at 8:05 PM 'Alan Stafford' via sage-support > wrote: > > > > I only used Safari. Safari supports widgets at Cocalc so I can't think > that it won't support them should I run it locally. Interact has worked on > previous versions of SageMath. I am hoping the Mac support team will look > into this. > > Cocalc has its own implementation for handling ipython notebooks. No > wonder that it might be totally different locally, with different code > handling notebook. > > Can you try with Chrome? > > > > > On Saturday, January 29, 2022 at 6:40:10 PM UTC dim...@gmail.com wrote: > >> > >> On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: > >> > > >> > Just for data points, which browsers did you try on this? Thanks for > reporting. > >> > >> for what's worth, the interact works on Linux with Firefox. > >> > >> > > >> > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 > alan_thoma...@yahoo.co.uk wrote: > >> >> > >> >> Interact just calls the function but no Interact widgets appear. > >> >> > >> >> Example attached. It works at Cocalc. > >> > > >> > -- > >> > You received this message because you are subscribed to the Google > Groups "sage-support" group. > >> > To unsubscribe from this group and stop receiving emails from it, > send an email to sage-support...@googlegroups.com. > >> > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com > . > > > > -- > > You received this message because you are subscribed to the Google > Groups "sage-support" group. > > To unsubscribe from this group and stop receiving emails from it, send > an email to sage-support...@googlegroups.com. > > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/8f13034e-c737-4e4a-bc58-ceb6d7177281n%40googlegroups.com > . > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/3697bc17-3e05-45b0-940a-97c054928617n%40googlegroups.com.
[sage-support] Segfault with conda installation of SageMath-9.3 and 9.4 on Mac OS X
I am getting a crash when I am running SnapPy's https://github.com/3-manifolds/SnapPy test suite against SageMath with the stack trace below. I created several different conda environments, all with python 3.9.9, on Mac OS 11.5.2 x86_64 and it seems to be related to the (cy)pari version. That is, I can fix the crash or recreate the crash by changing the environment with "conda install pari==2.11.4" or "conda install 2.13.2". Those commands change the packages as follows: added / updated specs: - pari==2.11.4 The following packages will be DOWNGRADED: cypari2 2.1.2-py39hbeebeb8_3 --> 2.1.2-py39he58a9ab_0 cysignals 1.11.2-py39h7972417_0 --> 1.10.3-py39h520947a_0 eclib 20210503-h06317ce_2 --> 20210503-h5af3530_0 giac 1.6.0.47-h3e19eb6_2 --> 1.6.0.47-h5514456_0 lcalc 1.23-he3dd645_1006 --> 1.23-h3e22c04_1004 pari2.13.2-h491590d_1_pthread --> 2.11.4-h797e938_2 sagelib9.3-py39hf07016b_5 --> 9.3-py39h2a6771f_4 l also tried Marc Culler's Sage releases (https://github.com/3-manifolds/Sage_macOS/releases), version 9.4 and 9.5 prerelease. The crash didn't happen in either version. I think those use pari 2.13.1 and 2.13.3. Hmmm... I noted that the downgrading that fixed the crash removed "_pthread" from the pari version. So maybe pthread support causes the crash. Here is the stacktrace: * thread #1, queue = 'com.apple.main-thread', stop reason = signal SIGABRT * frame #0: 0x7fff203b84c2 libsystem_kernel.dylib`__kill + 10 frame #1: 0x00010ffd40ac libpari-gmp-tls.dylib`pari_err + 4940 frame #2: 0x00010fca26ec libpari-gmp-tls.dylib`_gtopoly + 172 frame #3: 0x0001169ec422 gen.cpython-39-darwin.so`__pyx_pf_7cypari2_3gen_8Gen_base_14Polrev + 178 frame #4: 0x00010f7b450c signals.cpython-39-darwin.so`__Pyx_CyFunction_CallAsMethod + 92 frame #5: 0x000118534c77 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_Call2Args + 215 frame #6: 0x0001185972cf polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_221_pari_with_name + 1071 frame #7: 0x00010f0b1f24 python`cfunction_call + 52 frame #8: 0x000118534ea3 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_CallOneArg + 339 frame #9: 0x0001185967a2 polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_217__pari__ + 386 frame #10: 0x000118535904 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_CallNoArg + 132 frame #11: 0x000118598497 polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_231resultant + 551 frame #12: 0x00010f060bd5 python`method_vectorcall_O + 117 frame #13: 0x0001108491d4 element.cpython-39-darwin.so`__pyx_pw_4sage_9structure_7element_12coerce_binop_1new_method + 1208 frame #14: 0x00010f051288 python`_PyObject_MakeTpCall + 136 frame #15: 0x00010f055d9e python`method_vectorcall + 686 frame #16: 0x00010f186e4f python`call_function + 175 frame #17: 0x00010f184940 python`_PyEval_EvalFrameDefault + 44816 frame #18: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #19: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #20: 0x00010f186e4f python`call_function + 175 frame #21: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #22: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #23: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #24: 0x00010f186e4f python`call_function + 175 frame #25: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #26: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #27: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #28: 0x00010f186e4f python`call_function + 175 frame #29: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #30: 0x00010f052672 python`_PyFunction_Vectorcall + 242 frame #31: 0x00010f186e4f python`call_function + 175 frame #32: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #33: 0x00010f052672 python`_PyFunction_Vectorcall + 242 frame #34: 0x00010f186e4f python`call_function + 175 frame #35: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #36: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #37: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #38: 0x00010f186e4f python`call_function + 175 frame #39: 0x00010f184a2b python`_PyEval_EvalFrameDefault + 45051 frame #40: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #41: 0x00010f05272b
[sage-support] Re: Eigen spaces of algebraic matrices broken ?
FWIW, upgrading to 9.5.rc4 *and disabling the use of system’s pari and
singular* gives the same symptoms. Possible suspect :
charpent@zen-book-flip:~$ sage -pip list | grep pari
cypari2 2.1.2
I’m way out of my depth here…
HTH,
Le samedi 29 janvier 2022 à 22:51:14 UTC+1, Emmanuel Charpentier a écrit :
> The promlem seems tolie wit (my use of) polynomial rings to compute the
> eigenvectors. Manually, after executing
>
> dims = M.dimensions()
> if dims[0] != dims[1]: raise DomainError("Not a square matrix !")
> dim = dims[0]
> BR = M.base_ring()
> try:
> WR = BR.algebraic_closure()
> except AttributeError:
> WR = BR
> WPR = WR["t"]
> t = WPR.gens()[0]
> # CP = WPR(M.charpoly(var="t"))
> # Eigenvalues
> CP = M.charpoly(var="t")
> lambdas = CP.roots(ring=WR)
> # Eigenvectors
> Id = identity_matrix(WR,dim)
> WM = M.apply_map(lambda u:WR(u))
> PR = PolynomialRing(WR,list(("v%d"%u for u in range(dim
> J=PR.ideal(*(WM-Id*lambdas[0][0])*vector(PR.gens()))
>
> neither J.dimension() nor J.variety() returns ; the interruption gives :
>
> sage: J.dimension()
> C-c
> C-c---
> KeyboardInterrupt Traceback (most recent call last)
> in
> > 1 J.dimension()
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/polynomial/multi_polynomial_ideal.py
> in __call__(self, *args, **kwds)
> 295 if not R.base_ring().is_field():
> 296 raise ValueError("Coefficient ring must be a field for
> function '%s'."%(self.f.__name__))
> --> 297 return self.f(self._instance, *args, **kwds)
> 298
> 299 require_field = RequireField
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar_decorators.py
> in wrapper(*args, **kwds)
> 111 # same_field=True might trigger an exception otherwise.
> 112
> --> 113 numfield, new_elems, morphism =
> number_field_elements_from_algebraics(orig_elems, same_field=True,
> minimal=True)
> 114
> 115 elem_dict = dict(zip(orig_elems, new_elems))
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in number_field_elements_from_algebraics(numbers, minimal, same_field,
> embedded, prec)
>2759 real_numbers = []
>2760 for v in numbers:
> -> 2761 if v._exact_field().is_complex() and real_case:
>2762 # the number comes from a complex algebraic number field
>2763 embedded_rt = v.interval_fast(RealIntervalField(prec))
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in _exact_field(self)
>4428 if isinstance(sd, (ANRational, ANExtensionElement)):
>4429 return sd.generator()
> -> 4430 self.exactify()
>4431 return self._exact_field()
>4432
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>4363 if isinstance(od, (ANRational, ANExtensionElement)):
>4364 return
> -> 4365 self._set_descr(self._descr.exactify())
>4366
>4367 def _set_descr(self, new_descr):
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>8180
>8181 if op == 'real':
> -> 8182 arg.exactify()
>8183 rv = (arg + arg.conjugate()) / 2
>8184 rv.exactify()
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>4363 if isinstance(od, (ANRational, ANExtensionElement)):
>4364 return
> -> 4365 self._set_descr(self._descr.exactify())
>4366
>4367 def _set_descr(self, new_descr):
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>8429 left = self._left
>8430 right = self._right
> -> 8431 left.exactify()
>8432 right.exactify()
>8433 gen = left._exact_field().union(right._exact_field())
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>4363 if isinstance(od, (ANRational, ANExtensionElement)):
>4364 return
> -> 4365 self._set_descr(self._descr.exactify())
>4366
>4367 def _set_descr(self, new_descr):
>
> /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py
> in exactify(self)
>8431 left.exactify()
>8432 right.exactify()
> -> 8433 gen = left._exact_field().union(right._exact_field())
>8434
